Extevent of stress intensity factors from generalized finite element solutions

J. P. Pereira, C. A. Duarte

Research output: Contribution to journalArticlepeer-review


The performance of several superconvergent techniques to extract stress intensity factors (SIFs) from numerical solutions computed with the generalized finite element method is investigated. The contour integral, the cutoff function and the J-integral methods are considered. An implementation of the extraction techniques based on a sequence of mappings that are independent of the underlying solution method or discretization is proposed. It is shown that this approach is suitable for virtually any mesh-free or mesh-based solution method. Several numerical examples demonstrating the convergence of the computed SIF and the flexibility of the proposed implementation are presented. The path independence of the extraction methods is also investigated. Numerical experiments demonstrate that the contour integral and the cutoff function methods are more robust than the J-integral method with the CFM being the most accurate.

Original languageEnglish (US)
Pages (from-to)397-413
Number of pages17
JournalEngineering Analysis with Boundary Elements
Issue number4
StatePublished - Apr 2005


  • Contour integral method
  • Cutoff function method
  • Generalized finite element method
  • J-integral method
  • Stress intensity factor

ASJC Scopus subject areas

  • Analysis
  • Engineering(all)
  • Computational Mathematics
  • Applied Mathematics

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